33801401088 has 648 divisors, whose sum is σ = 126760237968. Its totient is φ = 8904204288.

The previous prime is 33801401083. The next prime is 33801401089. The reversal of 33801401088 is 88010410833.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×33801401088² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33801401083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626070 + ... + 39626922.

Almost surely, 2^33801401088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33801401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63380118984).

33801401088 is an abundant number, since it is smaller than the sum of its proper divisors (92958836880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33801401088 is an equidigital number, since it uses as much as digits as its factorization.

33801401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 33801401088 in words is "thirty-three billion, eight hundred one million, four hundred one thousand, eighty-eight".